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By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.

Global solutions for abstract functional differential equations with nonlocal conditions.

Hernandez, E., Aki, Sueli M.Tanaka (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Global Solutions of Ordinary Differential Equations with Lag.

Klaus Deimling (1973)

Mathematische Zeitschrift

Global solvability criteria for quaternionic Riccati equations

G.A. Grigorian (2021)

Archivum Mathematicum

Some global existence criteria for quaternionic Riccati equations are established. Two of them are used to prove a completely non conjugation theorem for solutions of linear systems of ordinary differential equations.

Global stability for a delayed predator-prey system with stage structure for the predator.

Zhang, Xiao, Xu, Rui, Gan, Qintao (2009)

Discrete Dynamics in Nature and Society

Global stability of Clifford-valued Takagi-Sugeno fuzzy neural networks with time-varying delays and impulses

Ramalingam Sriraman, Asha Nedunchezhiyan (2022)

Kybernetika

In this study, we consider the Takagi-Sugeno (T-S) fuzzy model to examine the global asymptotic stability of Clifford-valued neural networks with time-varying delays and impulses. In order to achieve the global asymptotic stability criteria, we design a general network model that includes quaternion-, complex-, and real-valued networks as special cases. First, we decompose the $n$ -dimensional Clifford-valued neural network into $2^{m} n$ -dimensional real-valued counterparts in order to solve the noncommutativity...

Global stability of delayed Hopfield neural networks under dynamical thresholds.

Zhang, Fei-Yu, Li, Wan-Tong (2005)

Discrete Dynamics in Nature and Society

Global stability of dynamic systems of high order.

Benalili, Mohammed, Lansari, Azzedine (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Global stability of polytopic linear time-varying dynamic systems under time-varying point delays and impulsive controls.

De La Sen, M. (2010)

Mathematical Problems in Engineering

Global stability of sets for impulsive differential-difference equations by Lyapunov's direct method

Drumi Dimitrov Bajnov, Ivanka M. Stamova (1999)

Acta Mathematica et Informatica Universitatis Ostraviensis

Global stability of sets for systems with impulses.

G. K. Kulev, D. D. Bainov (1987)

Collectanea Mathematica

Global stability of steady solutions for a model in virus dynamics

Hermano Frid, Pierre-Emmanuel Jabin, Benoît Perthame (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We consider a simple model for the immune system in which virus are able to undergo mutations and are in competition with leukocytes. These mutations are related to several other concepts which have been proposed in the literature like those of shape or of virulence – a continuous notion. For a given species, the system admits a globally attractive critical point. We prove that mutations do not affect this picture for small perturbations and under strong structural assumptions. Based on numerical...

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Displaying 161 – 180 of 225

Global properties of components of solutions of non-linear second order ordinary differential equations on the half-line

Global properties of the $n$ th order linear differential equations

Global properties of the Painlevé transcendents: new results and open questions.

Global properties of the three-dimensional predator-prey Lotka-Volterra systems.

Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems

Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions